Classification of Escaping Exponential Maps
Dynamical Systems
2007-12-11 v6 Complex Variables
Abstract
We give a complete classification of the set of parameters for which the singular value of escapes to infinity under iteration. In particular, we show that every path-connected component of this set is a curve to infinity.
Keywords
Cite
@article{arxiv.math/0311427,
title = {Classification of Escaping Exponential Maps},
author = {Markus Förster and Lasse Rempe and Dierk Schleicher},
journal= {arXiv preprint arXiv:math/0311427},
year = {2007}
}
Comments
13 pages, 1 figure -- final version (to appear in Proc. AMS); only minor changes from v5